The analysis in [1]} revealed that
even if we replace the partition function
by the superconformal index,
we can still obtain the entropy by tuning fugacity variables appropriately.
When we discuss macroscopic black hole
we usually consider parameter region with
\(E\sim {\cal O}(N^2)\) , while the
focus in this paper is
the region \(E\sim {\cal O}(N^1)\) .
It is important to clarify how these two regions are interpolated.
If our prescription works for
arbitrarily large \(n\) ,
it may be possible
to reproduce the blackhole entropy on the AdS side
without using the quantum gravity.
